Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
16 cm.
This is because one side of the hexagon is half of one side of the square. Therefore, you multiply 8 by 2. 8x2 = 16
<h3>
Answers: C and D</h3>
Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.
The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.
Answer:
r=4
Step-by-step explanation:
Answer:

Step-by-step explanation:
The distance formula states that the distance between two points
and
is
.
The two points we have are
and
. Plugging these numbers into the distance formula, we have
.
Simplifying with order of operations, first using the distributive property, gives
.
Squaring and adding gives

which is the answer in simplest form. This also rounds to about 12.04.